Extractions: Home About Browse Search ... Help Prakash, VVS and Christopher, S and Balakrishnan, N Method-of-moments analysis of the narrow-wall slot array in a rectangular waveguide IEE Proc âMicrowave Antennas Propagat pp.Â 242-246 Manam, SR A Logarithmic Singular Integral Equation Over Multiple Intervals Applied Mathematics Letters pp.Â 1031-1037 George, RK and Chalishajar, DN and Nandakumaran, AK Exact controllability of the nonlinear third-order dispersion equation Journal of Mathematical Analysis and Applications pp.Â 1028-1044 Gayen, Rupanwita and Mandal, BN and Chakrabarti, A Water wave scattering by two sharp discontinuities in the surface boundary conditions IMA Journal of Applied Mathematics pp.Â 811-831 Chakrabarti, A and Manam, SR and Banerjea, S Scattering of surface water waves involving a vertical barrier with a gap Journal of Engineering Mathematics pp.Â 183-194 Chakrabarti, A On the solution of the problem of scattering of surface-water waves by the edge of an ice cover Proceedings of the Royal Society of London Series A Mathematical Physical and Engineering Sciences pp.Â 1087-1099

Integral Equations - Wiki Translate this page Commons license that governs use of materials published on the MIT OCW page. http//libwiki.skku.ac.kr/wiki/index.php/integral_equations http://libwiki.skku.ac.kr/wiki/index.php/Integral_Equations

Extractions: Jump to: navigation This course emphasizes concepts and techniques for solving integral equations from an applied mathematics perspective. Material is selected from the following topics: Volterra and Fredholm equations, Fredholm theory, the Hilbert-Schmidt theorem; Wiener-Hopf Method; Wiener-Hopf Method and partial differential equations; the Hilbert Problem and singular integral equations of Cauchy type; inverse scattering transform; and group theory. Examples are taken from fluid and solid mechanics, acoustics, quantum mechanics, and other applications Prerequisite Basic theory of one complex variable and ordinary differential equations (for example, either course Functions of a Complex Variable (18.112) or Advanced Calculus for Engineers (18.075) or Complex Variables with Applications (18.04)), or permission of Instructor. Main Textbook Masujima, M. Applied Mathematical Methods of Theoretical Physics - Integral Equations and Calculus of Variations. Weinheim, Germany: Wiley-VCH, 2005. ISBN: 3527405348. Homework There are eight homework assignments, each due 1.5 to 2 weeks after they are handed out. There are also two practice sets that will not be graded.

Extractions: Integral equations Integration is just the opposite of the derivative. That means when one derive a function and afterwards integrate it then one will get the original function. The integrated function is also called anti derivative. The anti derivative is used to calculate surface areas. The anti derivative is written as F(x). Basic integration rule : To determine the surface area one first has to calculate the anti derivative of the function like shown: If there is a fraction in the exponent then one also has to take the reciprocal value of the fraction meaning out of 2/5 would become 5/2. The general rule for the integration is: Integration of constants: The anti derivative of a constant is F (x) =constant *x. But why is that so? Factor rule: The same rules apply for the integration like for the derivation. One proceed in the same way like for the derivative. The reciprocal value has to be multiply with the factor in front of the x. Sum rule: When the function is divided by plus or minus then every part can be integrated separately.The general rule for this kind of integration is: Example: Integration rule for f '(x)/f(x): In some rare cases the function behind the integral symbol has the derivative f '(x) in the numerator and the function f(x) in the denominator. In that case one can apply the following rule:

Extractions: Wissenschaft.Online Suche Bereich NIMMT Bereich WISP Bereich KULI Schlagwortkatalog ... integral equations Computation of discontinuous solutions of 2D linear ill-posed integral equations via adaptive grid regularization In this paper we apply the new regularization method a daptive grid regularization , which is well-suited for ill-posed problems with discontinuous solutions and which was introduced in an earlier paper [5], to 2D linear integral equations of the first kind... Schlagworte: ill-posed problems, integral equations, regularization methods, adaptive grid regularization, adaptive grids Hierarchical Kronecker tensor-product approximations The goal of this work is the presentation of some new formats which are useful for the approximation of (large and dense) matrices related to certain classes of functions and nonlocal (integral, integro-differential) operators, especially for high-dimensional problems... Schlagworte: integral equations, BEM, low-rank matrices, hierarchical matrices, Kronecker products, multi-dimensional matrices, tensors On a numerical method for resolution of integral equations In this paper, we investigate a family of numerical methods for the approximate solution of integral equations...

Extractions: Newsletter We expect major site improvements soon. To be informed of important news about our site, enter your email here. Of course, you can always unsubscribe later. Your address will not be released to others. ( Integral Equations Page of found. Pages: Previous Next Sort by: Date (asc) Date (desc) Title (asc) Title (desc) Analytical Radiation Transport Benchmarks For The Next Century Date: 2005-01-19; A New Bem-fem Coupling Strategy For Two-dimensional Fluid-solid Interaction Problems Date: 2004-09-01; Study Of Electromagnetic Microinstabilities In Helical Systems With The Stellarator Expansion Method Date: 2004-06-01; A Kernel-independent Adaptive Fast Multipole Algorithm In Two And Three Dimensions Date: 2004-05-20; Numerical Algorithms For Boundary Problems With Disturbed Axial Symmetry Date: 2004-03-26; Iterative Forward And Inverse Algorithms Based On Domain Integral Equations For Three-dimensional Electric And Magnetic Objects Date: 2004-03-20; Second Kind Integral Equations For The Classical Potential Theory On Open Surfaces Ii Date: 2004-03-20; Vacuum Solutions Of The Gravitational Field Equations In The Brane World Model Date: 2004-03-15;

Extractions: Science.Online Search Area NEM Area JESP Area Culi Keyword index ... integral equations Computation of discontinuous solutions of 2D linear ill-posed integral equations via adaptive grid regularization In this paper we apply the new regularization method a daptive grid regularization , which is well-suited for ill-posed problems with discontinuous solutions and which was introduced in an earlier paper [5], to 2D linear integral equations of the first kind... Keywords: ill-posed problems, integral equations, regularization methods, adaptive grid regularization, adaptive grids Hierarchical Kronecker tensor-product approximations The goal of this work is the presentation of some new formats which are useful for the approximation of (large and dense) matrices related to certain classes of functions and nonlocal (integral, integro-differential) operators, especially for high-dimensional problems... Keywords: integral equations, BEM, low-rank matrices, hierarchical matrices, Kronecker products, multi-dimensional matrices, tensors On a numerical method for resolution of integral equations In this paper, we investigate a family of numerical methods for the approximate solution of integral equations...